ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probability to find the answer.
Answers
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]
=============================================================
Explanation:
The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.
We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.
So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).
Related Questions
[3⋅5]7=
help pls anyone pls help me
Answers
Determine the equation of the circle shown in the graph.
Answers
Answer:
B.
Step-by-step explanation:
The equation of a circle with center at (h, k) and radius r is
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
We have center at (-5, 0). That makes h = -5, and k = 0.
The radius is 3, so r = 3.
[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]
[tex] (x + 5)^2 + y^2 = 9 [/tex]
Answer: B.
Answer:
B
Step-by-step explanation:
The equation of a circle has the form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the circle and r is the radius.
From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.
And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.
Substitute the information into the equation:
[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]
Simplify. Therefore, our equation is:
[tex](x+5)^2+y^2=9[/tex]
Our answer is B.
What is the sample space for the suits of a standard 52-card deck of cards?
Answers
All the possible outcomes of an experiment.
Example: choosing a card from a deck
There are 52 cards in a deck (not including Jokers)
So the Sample Space is all 52 possible cards: {Ace of Hearts, 2 of Hearts, etc... }
The sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The sample space for the suits of a standard 52-card deck of cards consists of four elements, one for each suit:
Hearts
Diamonds
Clubs
Spades
Each card in the deck belongs to one of these four suits. Therefore, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
Hence, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.
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Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answers
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
Calls to a customer service center last on average 2.8 minutes.
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
[tex]M = n\mu = 75*2.8 = 210[/tex]
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Please help me ASAP ASAP ASAP
Answers
Answer:
d = 4√5
Step-by-step explanation:
d² = 8² + 4²
d² = 64 + 16
d² = 80
d =√80
d = √(16 * 5)
d = 4√5
Answer:
Step-by-step explanation:
hard to see graph ....
This is a 30-60-90 triangle. What is the measure of x?
Answers
Which is the equation of the graphed line written in
standard form?
4
3
O y = x
2
1
O x-}y = 0
543
-1
1
+
1
2
3
4
5
X
O x-y=0
3
O y= x
4
V
+
Answers
Answer:3
Step-by-step explanation: God bless you
x – y = 0 is the equation of the graphed line written in standard form. Therefore, the correct option is option C.
What is equation of line?The slopes of the line as well as a point just on line can be used to create the line equation. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line.
The slope of the line, which can be stated as a quantitative integer, fraction, or perhaps the tangential of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. x – y = 0 is the equation of the graphed line written in standard form.
Therefore, the correct option is option C.
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Your question is incomplete but most probably your full question was,
Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x
What is the scale factor of this dilation?
Answers
Step-by-step explanation:To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor.
At a school camp there is enough foot for 150 students for 5 days.
Q: How long would the food last if there were only 100 students?
Answers
Answer:
Step-by-step explanation:
you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed
Lula budgeted $45 per day for food costs. If these are costs for the two
meals she had today, how much does she have left for dinner?
Breakfast
$7.98
Lunch
$13.95
Dinner
?
A. $17.89
B. $23.07
C. $25.32
D. $14.56
Answers
Answer: 23.07$ (Option B)
Step-by-step explanation:
Lula's Budget per day = 45%
Cost spent on two meals = breakfast + lunch
= 21.93$
How much does Lula has for dinner = 45$ - 21.93$
= 23.07$
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)
Answers
Answer:
tan 43 =.93
cos 67=.39
sin 39=.63
Step-by-step explanation:
tan 43 = .932515086=.93
cos 67=.390731128=.39
sin 39=.629320391=.63
In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. When using this technique the AOQ: worsens (AOQ becomes a larger fraction). improves (AOQ becomes a smaller fraction). is not affected, but the AQL is improved. is not affected. falls to zero.
Answers
Answer:
When using this technique, the AOQ:
improves (AOQ becomes a smaller fraction).
Step-by-step explanation:
AOQ simply means Average Outgoing Quality, which improves with inspection. It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets. The plan draws samples from a population of items. Then it tests the samples. It only accepts the entire population if the sample is considered good enough. It also rejects the population when the sample is poor enough. In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated. Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.
The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?
Answers
Answer:
70 + 301 = 371
Step-by-step explanation:
This equation tells the gym
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = (1 + 8x)^(1/2) (g(x), f(u)) = (1 + 7x, u^1/3)Find the derivative dy/dx. dy/dx = _______.
Answers
By the chain rule, you have
dy/dx = dy/du * du/dx
For the function y = f(x) = (1 + 8x)^(1/2), you're taking
y = u ^(1/2)
u = 1 + 8x
These have derivatives
dy/du = 1/2 u ^(-1/2)
du/dx = 8
which means
dy/dx = 4u ^(-1/2) = 4 (1 + 8x)^(-1/2)
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 2.1%. Lett be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answers
Answer:
y = 320,000(2.1)^t
Step-by-step explanation:
uhm, im not very good at explaining, but everytime the year increases, the population will exponentially increase, that's why 't' is an exponent
Answer:
[tex]y=320000(1.021)^t[/tex]
Step-by-step explanation:
To increase something by x% mulitply it by (1+x)
in other words, to increase sometihng by 2.1% mulitply it by
(1+.021) or 1.021
because we are mulitplying 320000 by 1.021 each year we can write the equation as
y=320000(1.021)^t
Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answers
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
is the sum of two rational numbers sometimes zero ture or false?
Answers
Answer:
True.
Step-by-step explana
-4/5 + 4/5 is 0
The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = –20c2 + 320c + 5,120. What is the maximum profit the company can make from the product?
Answers
Answer:
6400
Step-by-step explanation:
Given the profit function ;
P(c) = –20c2 + 320c + 5,120
The maximum value is given by :
f(h) ; where, h = - b /2a
From P(C) ; a = - 20 ; b = 320
h = - b / 2a = - 320 / 2(-20) = - 320 / 40 = 8
c = h
P(8) = –20(8)² + 320(8) + 5,120
P(8) = - 1280 + 2560 + 5120
= 6400
Answer:
B.) $640,000
Step-by-step explanation:
The government claims that the average age of Texans is 38 years. Blake hypothesizes that the average age of the population of Texas is not equal to 38 years. Blake records a sample mean equal to 41 and states the hypothesis as u = 38 vs u 38.
Select the best description for this type of test.
a.) Right-tailed test
b.) Two-tailed test thing
c.) Left-tailed test
d.) Upper-tailed test
Answers
Answer:
b.) Two-tailed test
Step-by-step explanation:
Blake hypothesizes that the average age of the population of Texas is not equal to 38 years.
This means that at the alternative hypothesis, we test if the average is different of 38, that is:
[tex]H_1: \mu \neq 38[/tex]
When the test at the alternative hypothesis is of difference, we have a two-tailed test, and thus the answer is given by option b.
Answer:
Two-tailed test
Step-by-step explanation:
Got it right on the test.
+
= 1
Which ellipse has a major axis that is vertical?
A (x + 1)2 (y + 12)2
20
6
8 3x2 + 7y2 - 21 = 0
© An ellipse with foci (0, 15) and (0, -15) and co-vertices (4,0).and (-4, 0)
An ellipse with vertices (0, 4) and (30, 4) and co-vertices (15, 3) and (15,5)
Answers
Answer:
Step-by-step explanation:Bó tay
Which region represents the solution to the given system of inequalities?
Answers
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities
Is each statement true for parallelogram DEFG? Drag each statement into the correct box.
DF=EG
EF=DG
∠DEG ≅ ∠FGE
Answers
The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
DEFG is a parallelogram.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
DF=FG is a true statement.
The diagonal passing through a parallelogram are equal in length.
EF=DG is a true statement
The opposite sides of a parallelogram are equal.
∠DEG ≅ ∠FGE are congruent angles.
Because the opposite angles of a triangle are equal in meausure.
Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
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Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?
Answers
Answer:
$0.25
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A circle P is circumscribed about a regular hexagon ABCDEF
Arcs AB, BC, CD, DE, EF, FA are all equal
Select one:
a. False
b. True
Answers
Answer: True
Explanation:
Let point G be the center of both the hexagon and the circle.
The measure of arc AB is the same as central angle AGB, both of which are 360/6 = 60 degrees. This applies to the other arc measures as well. The full 360 degree circle is split up into 6 equal pieces, each piece being 60 degrees.
two multiplied by some number is 1 over 2. what is the answer
Answers
Answer:
2 over 4
Step-by-step explanation:
Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answers
Answer:
64.2 minutes
Step-by-step explanation:
We are given that
Shen set timer to run=93 minutes
He has finished his run=69%
We have to find total number of minutes have gone by.
69% of 93
=[tex]\frac{69}{100}\times 93[/tex]
By using
a%[tex]=\frac{a}{100}[/tex]
69% of 93=[tex]\frac{6417}{100}[/tex]
69% of 93=64.17 min
69% of 93[tex]\approx 64.2min[/tex]
Hence, 64.2 minutes have gone by.
Set up an equation and find the missing value of x.
Answers
Answer:
x = 35
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent
Hence, 80 = 2x + 10
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
80 = 2x + 10
Step 1 subtract 10 from each side
80 - 10 = 70
10 - 10 cancels out
We now have 70 = 2x
Step 2 divide each side by 2
70/2 = 35
2x / 2 = x
We're left with x = 35
Please Help
Greatly appreciated!!
Answers
Answer:
D
Step-by-step explanation:
[tex](x_{1}, y_{1}) \ =[/tex] (-2, 1) ; m = 4/5
y - y1 = m(x - x1)
[tex]y - 1 = \frac{4}{5}(x- [-2])\\\\y - 1 =\frac{4}{5}(x + 2 )[/tex]
A.85
B.98
C.102
D.34
Answers
Answer:
C. 102Step-by-step explanation:
[tex]{hope it helps}}[/tex]
If you are selling your house with a local realtor who requires a 5 % commission fee, what can you expect to pay the realtor if your house sells for $182,000?
Answers
Answer: $9100
Step-by-step explanation:
Since the local realtor will get a commission of 5% whenever the house is sold, then the amount they the realtor will be paid when the house is old for $182000 will be calculated thus:
= 5% × $182000
= 5/100 × $182000
= 0.05 × $182000
= $9100
The realtor will be paid $9100.